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Finding the Fourth Proportional to 265,194.16, 397,158.06 and 152,637.78

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Solution

The fourth proportional to 265,194.16, 397,158.06 and 152,637.78 is: 228,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,194.16 : 397,158.06 = 152,637.78 : x
  2. Step 2: Convert to fraction form
    265,194.16/397,158.06 = 152,637.78/x
  3. Step 3: Cross multiply
    265,194.16x = 397,158.06 × 152,637.78
  4. Step 4: Simplify right side
    265,194.16x = 60,621,324,587.51
  5. Step 5: Solve for x
    x = 60,621,324,587.51/265,194.16
  6. Step 6: Final answer
    x = 228,592.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.